Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Review Exercises: Chapter 4: 55

Answer

$x^7+x^5-3x^4+3x^3-2x^2+5x-3$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (x^4-2x+3)(x^3+x-1) ,$ is \begin{array}{l}\require{cancel} x^4(x^3)+x^4(x)+x^4(-1)-2x(x^3)-2x(x)-2x(-1)+3(x^3)+3(x)+3(-1) \\\\= x^7+x^5-x^4-2x^4-2x^2+2x+3x^3+3x-3 \\\\= x^7+x^5+(-x^4-2x^4)+3x^3-2x^2+(2x+3x)-3 \\\\= x^7+x^5-3x^4+3x^3-2x^2+5x-3 .\end{array}
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